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3 years ago

The ratio of two numbers is 1:4, and the sum of these numbers is 40. Find the numbers

Mathematics

1 answer:

Irina-Kira [14]3 years ago

3 0

X + 4x = 40

5x = 40

5x/5 = 40/5

x = 8

1x 8 = 8

4x 8 = 32

Check=

8 + 32 = 40

The numbers are 8 and 32

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Drag each expression to show whether the product is less than 1

barxatty [35]

Equal to 1:

$3*\frac{1}{3}\ \ , \ \ 5*\frac{1}{5}\ \ , \ \6*\frac{1}{6}$

Less than 1:

$1*\frac{5}{6}$

Greater than 1:

$2 * \frac{3}{4} \ \ , \ \ \ 3 * \frac{2}{5}$

Step-by-step explanation:

We will solve each product one by one.

So,

$3*\frac{1}{3} = 1\\\\6*\frac{1}{6} = 1\\\\2 * \frac{3}{4} = \frac{3}{2}\\\\1*\frac{5}{6} = \frac{5}{6}\\\\3*\frac{2}{5} = \frac{6}{5}\\\\5*\frac{1}{5} = \frac{1}{5}$

As we have all the answers now.

If the denominator of a fraction is greater than ts numerator then the result is less than 1
If the denominator of a fraction is less than its numerator then the result is greater than 1.

So,

Equal to 1:

$3*\frac{1}{3}\ \ , \ \ 5*\frac{1}{5}\ \ , \ \6*\frac{1}{6}$

Less than 1:

$1*\frac{5}{6}$

Greater than 1:

$2 * \frac{3}{4} \ \ , \ \ \ 3 * \frac{2}{5}$

Keywords: Fractions, decimals

Learn more about fractions at:

#LearnwithBrainly

3 0

3 years ago

Find the domain of f(x) = -4x + 2 for the range {-5, 2, 6, 18).

Flauer [41]

Answer:

Step-by-step explanation:

calculate x for this equation

f(x) = -5 : -4x +2 = - 5 so : -4x =-7 x = 7/4

f(x) = 2 : -4x +2 = 2 so : -4x =0 x = 0

f(x) =6 : -4x +2 = 6 so : -4x =4 x = -1

f(x) = 18 : -4x +2 = 18 so : -4x =16 x = - 4

the domain is : D = {7/4, 0, -1, -4}

8 0

4 years ago

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns

telo118 [61]

Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase

6 0

3 years ago

Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?

Finger [1]

$2- 500 divided by 250

5 0

3 years ago

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

riadik2000 [5.3K]

Percentages are out of 100. So we'll multiply by 0.85 to represent the 15%

To find the y points on the graph we can use f(x) = $0.85^x*40$

We'll input 1-5 for x to find y:

1: $0.85^1=0.85*40=34$
2: $0.85^2=0.7225*40=28.9$
3: $0.85^3=0.614125*40=24.57$
4: $0.85^4= 0.52200625*40=20.88$
5: $0.85^5=0.443705312*40=17.75$

Therefore the answer is a graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x-axis.

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3 years ago